Using Derivative to analyze the graph of a Polynomial: 6. Consider the function f (x) = =x3 -=x2 - 6x - 4. Determine the following properties of the graph w of f ( x) : a) Find f'(x) and identify the critical values and the stationary points. Apply 3.1.2 Theorem to determine the intervals where f is increasing and where fis decreasing. Draw a number line to represent your test results of f' (x). b) Apply the First Derivative Test (3.2.3 Theorem) to locate the relative extrema (if any) for the graph of f. Find the exact coordinate of each relative extrema. (Answer should be in fraction form c) Find f" (x) and apply 3.1.4 Theorem to determine the interval of the concavity of f. Draw a number line to represent your test results of f" (x)